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Autori principali: Matsusaka, Toshiki, Miyazaki, Taichi, Yara, Shunta
Natura: Preprint
Pubblicazione: 2026
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Accesso online:https://arxiv.org/abs/2604.01578
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author Matsusaka, Toshiki
Miyazaki, Taichi
Yara, Shunta
author_facet Matsusaka, Toshiki
Miyazaki, Taichi
Yara, Shunta
contents We study a finite analogue of Dobiński's formula, which is related to the Napier constant $e$, and its Bessel-type generalizations. Furthermore, using Gregory polynomials, we extend the results of Kaneko--Matsusaka--Seki on finite analogues of Euler's constant, and compare them with the Wilson-type analogue $γ_\mathcal{A}^\mathrm{W}$.
format Preprint
id arxiv_https___arxiv_org_abs_2604_01578
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials
Matsusaka, Toshiki
Miyazaki, Taichi
Yara, Shunta
Number Theory
We study a finite analogue of Dobiński's formula, which is related to the Napier constant $e$, and its Bessel-type generalizations. Furthermore, using Gregory polynomials, we extend the results of Kaneko--Matsusaka--Seki on finite analogues of Euler's constant, and compare them with the Wilson-type analogue $γ_\mathcal{A}^\mathrm{W}$.
title On finite analogues of Dobiński's formula and of Euler's constant via Gregory polynomials
topic Number Theory
url https://arxiv.org/abs/2604.01578